A geometric approach to the weighted estimates of Hilbert transforms
type: Item
instance of: scholarly article
title: A geometric approach to the weighted estimates of Hilbert transforms
zbMATH Open document ID: 0539.44002
DOI: 10.1007/BF01076730
author: S. R. Trejl'
publication date: 1983-01-01T00:00:00Z
review text: In this short communication a geometrical approach has been applied to prove three fundamental inequalities for absolutely continuous measures in the set of trigonometric polynomials. The non-commutative case is considered when these inequalities cease to be equivalent. An operator analogue of the Koosis theorem is established.
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 28C20
Mathematics Subject Classification ID: 46G12
zbMATH DE Number: 3857710
zbMATH Keywords: weighted estimates
zbMATH Keywords: Hilbert transform
zbMATH Keywords: finite Borel measures
zbMATH Keywords: geometrical approach
zbMATH Keywords: inequalities
zbMATH Keywords: absolutely continuous measures
zbMATH Keywords: trigonometric polynomials
zbMATH Keywords: non-commutative case
zbMATH Keywords: Koosis theorem
MaRDI profile type: Publication
cites work: A problem in prediction theory
cites work: Q4182986
cites work: Q3922907
published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 3857710